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90601501602133 is a prime number
BaseRepresentation
bin10100100110011011001110…
…010100011011000101010101
3102212210102022102110121211101
4110212123032110123011111
543333403333402232013
6520405431044310101
725040512445652514
oct2446331624330525
9385712272417741
1090601501602133
1126960976750655
12a1b32176a2331
133b728b9a7b4c2
1418531c956667b
15a71b4645d8dd
hex5266ce51b155

90601501602133 has 2 divisors, whose sum is σ = 90601501602134. Its totient is φ = 90601501602132.

The previous prime is 90601501602077. The next prime is 90601501602163. The reversal of 90601501602133 is 33120610510609.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47767906113489 + 42833595488644 = 6911433^2 + 6544738^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90601501602133 is a prime.

It is a super-2 number, since 2×906015016021332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90601501602092 and 90601501602101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90601501602163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45300750801066 + 45300750801067.

It is an arithmetic number, because the mean of its divisors is an integer number (45300750801067).

Almost surely, 290601501602133 is an apocalyptic number.

It is an amenable number.

90601501602133 is a deficient number, since it is larger than the sum of its proper divisors (1).

90601501602133 is an equidigital number, since it uses as much as digits as its factorization.

90601501602133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 90601501602133 in words is "ninety trillion, six hundred one billion, five hundred one million, six hundred two thousand, one hundred thirty-three".